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Calculating and plotting an integral

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Susan
Susan on 14 Feb 2019
Closed: MATLAB Answer Bot on 20 Aug 2021
Hi guys,
Can anyone help me in calculating the attached integral.
N=8,
a = 0:10 (dB)
x = sqrt(2*a)
and the goal is plotting PB vs. x.
TIA!!!!
  2 Comments
Rik
Rik on 14 Feb 2019
Have a read here (or here for more general advice). It will greatly improve your chances of getting an answer.
David Goodmanson
David Goodmanson on 17 Feb 2019
Edited: David Goodmanson on 17 Feb 2019
Hi Su,
the inner integral (the one that is taken to the N/2-1 power) is
normcdf(v+X) - normcdf(-(v+X))
which is also
2*normcdf(v+X) - 1
assuming that v+X >= 0. But the lower limit on the outer integral, v >= -X, assures that this is the case.
So you can plug in either of those two expressions and then you are at least down to a single integral, which can be done numerically.

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